Does the statement: "I will bring a stick and tell you 'divorced by three' if you do not obey me" fall under the category of a promise of divorce and not an immediate divorce?

What was issued by you is not a declaration of divorce, but rather a promise and a threat. Therefore, no divorce results from it. A promise of divorce does not constitute a divorce, no matter how many times it is uttered, nor is it obligatory or even recommended to fulfill it. Accordingly, your divorce has not taken place, and nothing is binding upon you. We advise you to beware of obsessive doubts.